Abelian p-extensions and additive polynomials

DOI10.1142/S0129167X17501002zbMath1431.11126arXiv1606.02354OpenAlexW2963005491MaRDI QIDQ4602448

Martha Rzedowski-Calderón, Jonny Fernando Barreto-Castañeda, Fausto Jarquin-Zarate, Gabriel Daniel Villa-Salvador

Publication date: 11 January 2018

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.02354

zbMATH Keywords

global function fieldsramificationArtin-Schreier-Witt extensionselementary abelian \(p\)-extensions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Special polynomials in general fields (12E10) Other abelian and metabelian extensions (11R20) Field arithmetic (12E30)

Related Items (1)

Genus fields of abelian extensions of rational congruence function fields. II

Cites Work

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• Large \(p\)-group actions with a \(p\)-elementary abelian derived group
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• The ramification group filtrations of certain function field extensions
• A combinatorial proof of the Kronecker-Weber theorem in positive characteristic
• THE RAMIFICATION GROUPS AND DIFFERENT OF A COMPOSITUM OF ARTIN–SCHREIER EXTENSIONS
• Relations Between the Genera and Between the Hasse-Witt Invariants of Galois Coverings of Curves
• EXTENSIONS OF ALGEBRAIC FUNCTION FIELDS WITH COMPLETE SPLITTING OF ALL RATIONAL PLACES

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